A195729 Decimal expansion of arctan(3).

1, 2, 4, 9, 0, 4, 5, 7, 7, 2, 3, 9, 8, 2, 5, 4, 4, 2, 5, 8, 2, 9, 9, 1, 7, 0, 7, 7, 2, 8, 1, 0, 9, 0, 1, 2, 3, 0, 7, 7, 8, 2, 9, 4, 0, 4, 1, 2, 9, 8, 9, 6, 7, 1, 9, 0, 5, 4, 6, 6, 9, 2, 3, 6, 7, 9, 7, 1, 5, 1, 9, 6, 5, 7, 3, 7, 2, 9, 3, 9, 5, 4, 9, 5, 7, 6, 0, 8, 9, 9, 0, 3, 2, 0, 4, 1, 7, 1, 5, 9

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Index entries for transcendental numbers

Formula

Equals arctan(1) + arctan(1/2). - Charles R Greathouse IV, Sep 23 2014

Equals arcsin(3/sqrt(10)) = arccos(sqrt(1/10)). - Amiram Eldar, Jul 11 2023

Example

arctan(3) = 1.2490457723982544258299170772...

Mathematica

r = 3;
N[ArcTan[r], 100]
RealDigits[%]  (* A195729 *)
N[ArcCot[r], 100]
RealDigits[%]  (* A105531 *)
N[ArcSec[r], 100]
RealDigits[%]  (* A137914 *)
N[ArcCsc[r], 100]
RealDigits[%]  (* A188615 *)

Prog

(PARI) atan(3) \\ Charles R Greathouse IV, Sep 23 2014
(Magma) SetDefaultRealField(RealField(100)); Arctan(3); // G. C. Greubel, Aug 20 2018

Crossrefs

Cf. A105531, A137914, A188615.

Sequence in context: A062286 A071071 A354014 * A303950 A340884 A011181

Adjacent sequences: A195726 A195727 A195728 * A195730 A195731 A195732

Keyword

nonn,cons

Author

Clark Kimberling, Sep 23 2011

Status

approved